1020001332000 has 1152 divisors, whose sum is σ = 4088548638720. Its totient is φ = 217348454400.

The previous prime is 1020001331957. The next prime is 1020001332017. The reversal of 1020001332000 is 2331000201.

It is a happy number.

1020001332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4267787881 + ... + 4267788119.

It is an arithmetic number, because the mean of its divisors is an integer number (3549087360).

Almost surely, 2^{1020001332000} is an apocalyptic number.

1020001332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020001332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044274319360).

1020001332000 is an abundant number, since it is smaller than the sum of its proper divisors (3068547306720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020001332000 is a wasteful number, since it uses less digits than its factorization.

1020001332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1020001332000 its reverse (2331000201), we get a palindrome (1022332332201).

The spelling of 1020001332000 in words is "one trillion, twenty billion, one million, three hundred thirty-two thousand".